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Mathematical modeling of tumor growth as a random process in the presence of interaction between tumor cells and normal cells

Author

Listed:
  • Fatemeh Beigmohammadi

    (Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran†Department of Mathematics and Statistics, Université de Montréal, Montréal, QC, Canada)

  • Mohammad Khorrami

    (��Department of Fundamental Physics, Faculty of Physics, Alzahra University, Tehran, Iran)

  • Amir Ali Masoudi

    (Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran)

  • Amir H. Fatollahi

    (Department of Condensed Matter Physics, Faculty of Physics, Alzahra University, Tehran, Iran)

Abstract

A mathematical model of tumor growth as a random process is studied, in which there is an interaction between tumor cells and normal cells. A set of two coupled stochastic differential equations defines the dynamics of tumor cells and normal cells. The evolution contains driven growth, therapy, and Gaussian white noises terms. The corresponding Fokker–Planck equation is used to study the large-time behavior of the system. Specifically, for periodic therapy terms, the ratio of the probability of large tumor cells number to the probability of small tumor cells number is investigated. It is seen that increasing the interaction between the tumor cells and normal cells decreases this ratio.

Suggested Citation

  • Fatemeh Beigmohammadi & Mohammad Khorrami & Amir Ali Masoudi & Amir H. Fatollahi, 2024. "Mathematical modeling of tumor growth as a random process in the presence of interaction between tumor cells and normal cells," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 35(08), pages 1-8, August.
    • Handle: RePEc:wsi:ijmpcx:v:35:y:2024:i:08:n:s012918312450102x
    DOI: 10.1142/S012918312450102X
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